Improved Cramer-Rao lower bounds for phase and frequency estimation with M-PSK signals

Author

Tavares, Gonçalo N. ; Tavares, Luis M. ; Piedade, Moisés S.

Author_Institution

Dept. de Engenharia Electrotecnica e de Comput., Instituto Superior Tecnico, Lisbon, Portugal

Volume

49

Issue

12

fYear

2001

fDate

12/1/2001 12:00:00 AM

Firstpage

2083

Lastpage

2087

Abstract

We derive new Cramer-Rao lower bounds (CRBs) for the estimation of carrier phase and frequency offset from an unmodulated carrier or from a M-PSK data signal. The new CRBs are obtained formally from the exact likelihood function for the carrier phase and frequency offset, build from a block of received phase samples, and are applicable for a general alphabet size M. The bounds are compared with other previously obtained bounds (which also take into account the effect of random phase modulation) and with the performance of some popular feedforward algorithms for carrier phase and frequency offset estimation

Keywords

data communication; feedforward; frequency estimation; phase estimation; phase shift keying; Cramer-Rao lower bounds; M-PSK data signal; alphabet size; carrier frequency offset estimation; carrier phase offset estimation; exact likelihood function; feedforward algorithms; feedforward estimators; joint probability density function; phase samples; random phase modulation; simulated performance; unmodulated carrier; Frequency estimation; Gaussian noise; Phase estimation; Phase measurement; Phase modulation; Phase noise; Phase shift keying; Signal processing; Signal to noise ratio; White noise;

fLanguage

English

Journal_Title

Communications, IEEE Transactions on

Publisher

ieee

ISSN

0090-6778

Type

jour

DOI

10.1109/26.974254

Filename

974254